Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700j |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3877632 |
Modular degree for the optimal curve |
Δ |
-9.4499714083547E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -4 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2784033,-2319486438] |
[a1,a2,a3,a4,a6] |
j |
-4734976/1875 |
j-invariant |
L |
0.3439060269527 |
L(r)(E,1)/r! |
Ω |
0.057317667003708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340m1 86700bs1 |
Quadratic twists by: 5 17 |